Find All Solutions Of $2 \sin x - \sqrt { 2 } = 0$

Multiple Choice

Find all solutions of $2 \sin x - \sqrt { 2 } = 0$

A) $x = \frac { \pi } { 4 }$ and $x = \frac { 3 \pi } { 4 }$

B) $x = \frac { \pi } { 6 } + 2 k \pi$ and $x = \frac { \pi } { 2 } + 2 k \pi , k \in \text { integer }$

C) $x = \frac { \pi } { 3 } + 2 k \pi$ and $x = \frac { \pi } { 2 } + 2 k \pi , k \in \text { integer }$

D) $x = \frac { \pi } { 2 } \text { and } x = \frac { 3 \pi } { 2 }$

E) $x = \frac { \pi } { 4 } + 2 k \pi$ and $x = \frac { 3 \pi } { 4 } + 2 k \pi , k \in \text { integer }$